SOLUTION: i am having a very hard time grasping this concept differentiate two ways: the product rule and then by multiplying the expression before differentiating. can you help me sto solv

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Question 128713: i am having a very hard time grasping this concept
differentiate two ways: the product rule and then by multiplying the expression before differentiating. can you help me sto solve this problem step by step? thanks in advance
g(x)=(4x-3)(2x^2+3x+5)

Found 2 solutions by Earlsdon, psbhowmick:
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
Differentiate by the product rule and then by multiplying then differentiating:

First, let and
The product rule is:
Applying this to your problem:
Applying the differentiation:
Simplify:

Now we'll multiply then differentiate:
Simplifying, we get:
Now we'll differentiate:

Answer by psbhowmick(878) (Show Source):
You can put this solution on YOUR website!
#1) Multiplying and then differentiating

#2)Product rule
Let where and .
Using Product rule of differentiation